Atkin-Lehner |
2- 3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
29394o |
Isogeny class |
Conductor |
29394 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
50547160480923648 = 214 · 37 · 234 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2352254,-1387960819] |
[a1,a2,a3,a4,a6] |
Generators |
[-887:627:1] |
Generators of the group modulo torsion |
j |
1974461445584178701977/69337668698112 |
j-invariant |
L |
8.8501806403512 |
L(r)(E,1)/r! |
Ω |
0.12190722073977 |
Real period |
R |
0.64819351572138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798b2 |
Quadratic twists by: -3 |